Asymptotic behavior for a viscoelastic problem with not necessarily decreasing kernel. (English) Zbl 1076.74022
Summary: We consider a problem which arises in viscoelasticity. We prove an exponential decay of solutions under weaker assumptions than the ones frequently used in the literature. In particular, the kernels we are considering are not necessarily exponentially decaying to zero as was assumed before. The present results improve also a previous work of the authors.
MSC:
| 74H40 | Long-time behavior of solutions for dynamical problems in solid mechanics |
| 74D05 | Linear constitutive equations for materials with memory |
| 74H20 | Existence of solutions of dynamical problems in solid mechanics |
| 74H25 | Uniqueness of solutions of dynamical problems in solid mechanics |
Keywords:
exponential decayReferences:
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